Nonlocal approximation of the anisotropic perimeter and application to topology optimization - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Nonlocal approximation of the anisotropic perimeter and application to topology optimization

Résumé

We present a Γ-convergence approximation of a class of anisotropic perimeter functionals. In contrast to other works on the topic, the construction relies on the solution of possibly nonlinear elliptic boundary value problems. We discuss theoretical and algorithmic aspects. We also show various applications in topology optimization, including multiphase partitioning and overhang penalization in a mechanical framework related to additive manufacturing.
Fichier principal
Vignette du fichier
submission.pdf (1.05 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04332547 , version 1 (08-12-2023)

Identifiants

  • HAL Id : hal-04332547 , version 1

Citer

Samuel Amstutz, Beniamin Bogosel. Nonlocal approximation of the anisotropic perimeter and application to topology optimization. 2023. ⟨hal-04332547⟩
27 Consultations
37 Téléchargements

Partager

Gmail Facebook X LinkedIn More